Analysis Definition and 999 Threads

Hello, I've been studying spectroscopy in organic molecule and I came across an old data from 1934. 280(5b)(k,i±e), 297(1vd)(e), 354(1vd)(k,e), 378(1vd)(k,e), 398(Ovd) (e), 426(1vd)(k,e), 766(Ovd) (k,e), 807 (Od) (k,e), 817 (lb) (k,e), 842(1vd)(k,e), 862(2)(k,e), 878(3)(k,e), This is a piece...

Hi everyone, I have done the Harmonic Analysis of my model with Ansys APDL 17.0 (ACADEMIC version), and I have obtained only the DOF solution of my nodes but i need the Strain and Stress solution . How can I get it? Thanks. Tonino Sepe.

Homework Statement .The pipe bender consists of two grooved pulleys mounted and free to turn on a fixed frame. The pipe is bent into the shape shown by a force P=300N.Calculate the forces supported by the bearings of the pulleys.[/B] Homework Equations The force equilibrium equations in two...

Is there anywhere in physics textbooks , or anywhere else, a section on KINETICS OF ROTATING FLEXIBLE, CONSTRAINED BODY BY GRAVITY ( TURBINE ROTOR IN BEARINGS), NON-INVARIANT (Time -translation invariance by Noether’s theorem), WITH ECCENTRIC MASSES, TORQUE DRIVEN AT NON-CENTROIDAL AXIS...

Okay, I am studying Baby Rudin and I am in a lot of trouble. I want to show that a closed interval [a,b] is compact in R. The book gives a proof for R^n but I am trying a different proof like thing. Since a is in some open set of an infinite open cover, the interval [a,a+r_1) is in that open set...

Hi everyone, i have a question related with ansys. I request to do free vibration and force vibration for my final year project, my project title is optimum baby hammock stand. For free vibration i search from online to get the result by using modal solver (attachment below). For force vibration...

Hello, I have two questions regarding the Radius of convergence. 1. What should we do at the interval (R-eps, R) 2. It used definition to prove radius of convergence, but I am not sure if it is necessary-sufficient condition of convergence. I get that this can be a sufficient condition but not...

Homework Statement The period of a simple pendulum, defined as the time necessary for one complete oscillation, is measured in time units and is given by T = 2π ℓ/g where ℓ is the length of the pendulum and g is the acceleration due to gravity, in units of length divided by time squared. Show...

Let $U$ be a compact set in $\mathbb{R}^k$ and let $f:U\to\mathbb{R}^n$ be a $C^1$ bijection. Consider the manifold $M=f(U)$. Its volume distortion is defined as $G=det(DftDf).$ If $n=1$, one can deduce that $G=1+|\nabla f|^2$. What happens for $n>1$? Can one bound from below this $G$? If...

Hello everyone, I'd like to know how to identify the charge and the mass in a mass spectrum. How do I get the mass corresponding to a peak. I know how they are related p=\frac{m}{z} p_1=\frac{M_r+z_1}{z_1} p_2=\frac{M_r+(z_1-1)}{(z_1-1)} z_1 =\frac{p_2-1}{p_2-p_1} M_r =...

I will be taking analysis in the spring next semester. I am taking intro to proof, java programming, differential equations (did not get transfer credit), and either a probability course or a second semester linear, this semester. I feel I have a good understanding of differential equations at...

I understood the holomorphic condition this way. For a vector field F(x1, x2 . . ., xm) = <y1(x1, x2, x3 . . . , xm), y2(x1, x2, x3 . . . , xm), y3(x1, x2, x3 . . . , xm) . . . ,yn(x1, x2, x3 . . . , xm)> In a real analysis, its derivative is expressed as a Jacobian matrix because each...

Homework Statement Exercise 4.15 on the image. The exercise asks for the value of the current I using superposition Homework Equations Superposition theorem, nodal and mesh analysis The Attempt at a Solution I think i am doing the mesh analysis wrong, but can't see where. Can someone...

Air Force Lug Analysis (section 9 here and summarized here) seems to be the best generalized method for comprehensive lug analysis. However, it relies on charts developed by the USAF in the late sixties. Every source I've found on the method uses those same images. I'm trying to make an...

Hi, i need advice, I'm studying complex analysis on which book would you recommend to do it on that of Ahlfors or T.W.Gamelin's book?

I have a steelworks nearby my home. Is it possible to perform an air analysis in order to know how much the air is polluted? Which instrument do I need ? Are there cheap possibilities? Thanks a lot in advance for your help!

I'm reading "Time Series Analysis and Its Applications with R examples", 3rd edition, by Shumway and Stoffer, and I don't really understand a proof. This is not for homework, just my own edification. It goes like this: Σt=1n cos2(2πtj/n) = ¼ ∑t=1n (e2πitj/n - e2πitj/n)2 = ¼∑t=1ne4πtj/n + 1 + 1...

Hello everyone, I am trying to use ANSYS to calculate the reaction force in the edge of a buckled thin plate. (One edge is constrained and the other edge is displaced). According to what I read in the Help Documentation, the study should be done in Static Structural, and a stabilization...

Problem Statement: my aim is to digitalize a 10ns narrow pulse coming from a photo diode with current ranging from 10nA-70mA, as its impossible to cover this dynamic range of >60dB using a single TIA i have an option of separating it to two channels as below using two diodes ofcourse Lowest...

Hello everyone, i just finished a course of analysis(2)\vector calculus.Now iI'm interested in doing Gd of curves and surfaces(Do Carmo), and functional analysis(Rudin'sbook), but do not know what may have precedence between the two, on which i should start before you think?

this question is about dimensional analysis involving a number with units and a number with no units, if the question is already answered in another post please redirect me if not here is a simple example, for example, : say i have 2[in]-1. the 1 is dimensionless and the 2 has units of [in]...

Homework Statement Attached is a image of the circuit that I am attempting to analyze:Homework Equations KCL The Attempt at a Solution So I know I should assign a place in the circuit where I should preform KCL after selecting a reference point. I selected the reference point as the 2ohm...

Homework Statement Find the currents through ##R_3, i_1(t)## and ##R_2, i_2(t)##. I attached a diagram of the circuit (diagram.pdf). In the original diagram the currents I'm trying to find is marked going top to bottom, there's also no directions on the voltages in the original diagram but...

Homework Statement Homework EquationsThe Attempt at a Solution If I take KCL at node V1 (I'm assuming current traveling from nodeV2 to node V1) Current in = Current out V2 - 2volts / 2 ohms = V1 / 8 ohms so my question is, how does the battery (2 volts in this case) play a role in nodal...

Hello, I need to do a complete analysis using calculus and algebraic methods for these problems ƒ(x) = −x2 + 4x − 3 g(x) = x3 − 6x2 + 9x h(x) = x4 − 6x2 p(x) = x4 − 4x3 finding intercepts, critical points, intervals of increase and decrease, points of inflection, intervals of concavity...

So I'm at a bit of a cross roads. For this summer semester, due to class restrictions I can only take either operating systems with Automata Theory, or Analysis of Algorithms with Automata Theory. I've heard from many people that Algorithms is a nightmare, and I'm not sure if taking Automata...

I'm having a hard time following the analysis of the basic quantum circuit that illustrates Deutsch's Algorithm - essentially I'm not following the algebraic manipulations there making on the two input quantum bits (simple case). One analysis is given at the bottom of the page of the link I...

Homework Statement evaluate sinx/x^4 over the unit circle Homework Equations Cauchys Residue theorem ##sinz=1/(2i)(z+1/z)## The Attempt at a Solution So we have a branch point at z=0 but its of order 4 so I can't see any direct way of using Cauchys residue theorem. I've tried changing the...

Homework Statement So i have a function f(x)=x^2 that is periodic -a<x<a and need to sketch this function from -3a<x<a. I know how to find the Fourier coefficients though. Homework Equations f(x)=x^2 sketch it periodically The Attempt at a Solution I know that a function is only periodic...

Homework Statement It is found the terminal velocity ut of a spherical particle in a fluid depends upon the diameter d of particle, the dynamic viscosity μ of fluid and the buoyancy weight W of the particle [given by the difference in density between the particle and the fluid (∆ρ) ×...

Hi everyone, in this days i was seeing a little of Fourier series and transform, and i wondered if it was necessary to better understand before the measure and Lebesgue integral before studying it. Or it's not necessary?

In an RLC series circuit let applied EMF be given ##V=V_0\sin\omega t##, $$Z=Z_C+Z_R+Z_L=R+i\left(\frac{1}{\omega C}-\omega L\right)$$ $$|Z|=\sqrt{R^2+\left(\frac{1}{\omega C}-\omega L\right)^2}$$ Then $$i(t)=\frac{V(t)}{Z}=\frac{V_0e^{i\omega t}}{R+i\left(\frac{1}{\omega C}-\omega L\right)}$$...

micromass submitted a new PF Insights post How to self-study analysis. Part II: intermediate analysis Continue reading the Original PF Insights Post.

In a complex resistive mesh (grid), 2 points are chosen for applying a voltage source. Now there are many paths the current can take from A to B. And there is an equivalent resistance computed as well. But how to calculate the least resistive path? I.e. The path along which when traversed, the...

Hi, I have an optical model, fully programmably controllable with python. I want to know how much my variables (say N) of my model impact a certain parameter (i.e power, abberations). Now I have no clue how to go about this. There must be some analytical (numerical) method that I could use but...

Homework Statement I need to get 7 equations to make a 7x7 matrix in order to solve it. I have 4 of them, but I'm not sure how to get the voltages equations. Homework EquationsThe Attempt at a Solution I have got four equations so far. One is simply using KCL, I1 = I2 + I3 + I4. The other...

I want to do a transient thermal analysis in butt welded joint.The heat flow I have given 3200 watt(Q = efficiency x current x voltage = 0.8 x 160 amp x 25 volt)to the welding zone, given 20 load step(as welding is completed in 20 sec),convection co-efficient = 11.14, emissivity = .4 and applied...

Homework Statement Consider a 2pi-periodic function f(x) = |x| for -pi ≤ x ≤ pi a) Compute the Fourier series of the function f. b) Prove that (from n=1 to n=infinity)∑ 1/(2k-1)^2 = pi^2/8.**note all "sums" from here on out will be defined from n = 1 to n=infinity Homework EquationsThe Attempt...

Homework Statement In the following circuit, the battery has emf ε = 12.7 V. The resistors are R1 = 2000 Ω . R2 = 3000 Ω, and R3 = 4000 Ω. What is the current through resistor R2 ? Homework Equations Kirchoff's Rules V=IR The Attempt at a Solution i0 (into A) - i2 (current into resistor 2) -...

I want do thermal and structural analysis (Failure) on gas turbine blade. So what how to begin. Kindly help me.

Homework Statement I'm trying to solve this circuit when I try to simulate and run a dc sweep i get that it can't be solved. When I try to find the answer using linear algebra I get this answer after I throw it into MATLAB with the warning “[w]arning: Matrix is close to singular or...

Homework Statement For a given function ##g:[a,b]→ℝ, 0 < a < b##, compute its total variation \underset{[a,b]}{\mathrm{Var}} (g) where ##g(x) = \sin(x), x\in[a,b].## Homework EquationsThe Attempt at a Solution I know that between odd multiples of ##\frac{\pi}{2}##, ##\sin(x)## is monotone, so...

I got question in exam, 1) How to control hardness of X-ray? 2) why low frequency of x-ray is used for investigating tissue?? so in 1) what does controlling hardness means?? and in 2) can't we use high frequency of X-ray ?so that it will penetrate more as tissue are poor absorber...

Homework Statement State, with justification, if the Fundamental Theorem of Contour Integration can be applied to the following integrals. Evaluate both integrals. \begin{eqnarray*} (i) \hspace{0.2cm} \int_\gamma \frac{1}{z} dz \\ (ii) \hspace{0.2cm} \int_\gamma \overline{z} dz \\...

Homework Statement Hello, This week I ran an AA Spectroscopy experiment in my university, in which we had to analyze the percentage of Copper in a metal coin, and the containment of Iron in morning cereal. We used 2 standard solutions of 1 and 10 ppm (containing both Copper and Iron), and...

For a cubic function $$y=f(x)$$ three points A, B and C lie on a straight line with respective coordinates (-p,f(p)),(0,f(0)) and (p,f(p)) where p is a non zero constant. a. Show that $$\frac{f(-p)+f(p)}{2} =f(0)$$ I tried $$\frac{f(-p)+f(p)}{2} =\frac{0}{2} = 0 = f(0)$$ That doesn't seem...

So far in Landau, we've covered the following: Axiom 0: The "equals sign" is an equivalence relation (reflexive, commutative, and transitive). Axiom 1: $1$ is a natural number. Axiom 2: For each $x$ there exists exactly one natural number, called the successor of $x$, which will be denoted by...

Good day to everybody, I immediately expose my problem. I'm doing some measurements with the UV-vis spectroscopy and I'm having problems with the amines in the non visible region. This is what I do: put my amine in a quartz cuvette -> do the background (reference) -> analyze the same solution...

anorlunda submitted a new PF Insights post AC Power Analysis: Part 3, Cyber Resilience Continue reading the Original PF Insights Post.

Homework Statement [/B] If bar AB has an angular velocity of 6 rad/s, determine the velocity of the slider block C at the instant shown. 2. Homework Equations The Attempt at a Solution vB=vA+wABxrB/A vA=0 vB= -0.8485i+0.8485j So then C relative to B: vC=vB+wBCxrC/B -vCi=...